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kow
2 months ago
12

An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.

Mathematics
1 answer:
Inessa [12.5K]2 months ago
5 0
An acute angle measures under 90°. An angle bisector is a ray that divides an angle into two equal neighboring angles. For example, if you have an angle of 270°, which exceeds a semicircle, it divides into two angles of 135° each. In this instance, the resulting angles are not acute; rather, they are obtuse.
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If EBC = 31a - 2 and EBH = 4a + 45 find HBC
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Answer:

The measurement of angle HBC is m∠HBC=61°

Step-by-step explanation:

The given problem states that

The line BH divides angle EBC into two equal parts,

consult the attached diagram for clarity

thus

m∠EBC=m∠EBH+m∠HBC

where m∠EBH=m∠HBC

therefore

m∠EBC=2(m∠EBH)

Insert the provided values to solve for a

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therefore

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2 months ago
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